Existence of Mild Solutions to Nonlocal Fractional Cauchy Problems via Compactness

We obtain characterizations of compactness for resolvent families of operators and as applications we study the existence of mild solutions to nonlocal Cauchy problems for fractional derivatives in Banach spaces. We discuss here simultaneously the Caputo and Riemann-Liouville fractional derivatives...

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Bibliographic Details
Main Author: Rodrigo Ponce
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2016/4567092
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